Leugering G (1998)
Publication Language: English
Publication Status: Published
Publication Type: Book chapter / Article in edited volumes
Publication year: 1998
Publisher: Birkhäuser
Edited Volumes: Control and Estimation of Distributed Parameter Systems - International Conference in Vorau, Austria, July 14-20, 1996
Series: International Series of Numerical Mathematics
City/Town: Basel
Book Volume: 126
Pages Range: 191-205
ISBN: 978-3-0348-8849-3
URI: http://link.springer.com/chapter/10.1007/978-3-0348-8849-3_15
DOI: 10.1007/978-3-0348-8849-3_15
We consider a planar graph representative of the reference configuration of a network of elastic prestretched strings coupled at the vertices of that graph. Some or all of the vertices may carry a point mass, and at those nodes dry friction on the plane may occur. We briefly describe the model and some results on well-posedness and control of such systems obtained in the literature. We then introduce a dynamic domain decomposition based on a Steklov-Poincaré-type operator. The analysis is given for the time-domain and the frequency-domain. Optimal control and problems of exact controllability are formulated and investigated in terms of the decoupling procedure.
APA:
Leugering, G. (1998). On dynamic domain decomposition of controlled networks of elastic strings and joint-masses. In W. Desch; F. Kappel; K. Kunisch (Eds.), Control and Estimation of Distributed Parameter Systems - International Conference in Vorau, Austria, July 14-20, 1996. (pp. 191-205). Basel: Birkhäuser.
MLA:
Leugering, Günter. "On dynamic domain decomposition of controlled networks of elastic strings and joint-masses." Control and Estimation of Distributed Parameter Systems - International Conference in Vorau, Austria, July 14-20, 1996. Ed. W. Desch; F. Kappel; K. Kunisch, Basel: Birkhäuser, 1998. 191-205.
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